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Finding the Fourth Proportional to 105,593.44, 145,663.68 and 65,294.32

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Solution

The fourth proportional to 105,593.44, 145,663.68 and 65,294.32 is: 90,071.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,593.44 : 145,663.68 = 65,294.32 : x
  2. Step 2: Convert to fraction form
    105,593.44/145,663.68 = 65,294.32/x
  3. Step 3: Cross multiply
    105,593.44x = 145,663.68 × 65,294.32
  4. Step 4: Simplify right side
    105,593.44x = 9,511,010,934.30
  5. Step 5: Solve for x
    x = 9,511,010,934.30/105,593.44
  6. Step 6: Final answer
    x = 90,071.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.